English

The k-in-a-path problem for claw-free graphs

Discrete Mathematics 2016-12-15 v2 Data Structures and Algorithms

Abstract

Testing whether there is an induced path in a graph spanning k given vertices is already NP-complete in general graphs when k=3. We show how to solve this problem in polynomial time on claw-free graphs, when k is not part of the input but an arbitrarily fixed integer.

Keywords

Cite

@article{arxiv.0912.5468,
  title  = {The k-in-a-path problem for claw-free graphs},
  author = {Jiri Fiala and Marcin Kaminski and Bernard Lidicky and Daniel Paulusma},
  journal= {arXiv preprint arXiv:0912.5468},
  year   = {2016}
}

Comments

12 pages, 1 figure, STACS 2010

R2 v1 2026-06-21T14:29:27.040Z